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» Enumerating Triangulation Paths
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EJC
2010
13 years 7 months ago
Enumeration results for alternating tree families
We study two enumeration problems for up-down alternating trees, i.e., rooted labelled trees T, where the labels v1, v2, v3, . . . on every path starting at the root of T satisfy v...
Markus Kuba, Alois Panholzer
PAKDD
2004
ACM
186views Data Mining» more  PAKDD 2004»
14 years 22 days ago
CMTreeMiner: Mining Both Closed and Maximal Frequent Subtrees
Abstract. Tree structures are used extensively in domains such as computational biology, pattern recognition, XML databases, computer networks, and so on. One important problem in ...
Yun Chi, Yirong Yang, Yi Xia, Richard R. Muntz
JCT
2011
141views more  JCT 2011»
13 years 2 months ago
Bijections for Baxter families and related objects
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...
Stefan Felsner, Éric Fusy, Marc Noy, David ...
CG
2005
Springer
13 years 7 months ago
Computing geodesics on triangular meshes
We present a new algorithm to compute a geodesic path over a triangulated surface. Based on Sethian's Fast Marching Method and Polthier's Straightest Geodesics theory, w...
Dimas Martínez Morera, Luiz Velho, Paulo Ce...
DCG
1999
81views more  DCG 1999»
13 years 7 months ago
Properties of Random Triangulations and Trees
Let Tn denote the set of triangulations of a convex polygon K with n sides. We study functions that measure very natural "geometric" features of a triangulation Tn, fo...
Luc Devroye, Philippe Flajolet, Ferran Hurtado, Ma...